MinT - Information on Result #1297388

Information on Result #1297388

Linear OA(2²¹², 229, F₂, 92) (dual of [229, 17, 93]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(2¹⁹⁶, 212, F₂, 92) (dual of [212, 16, 93]-code), using
- 1 times truncation [i] based on linear OA(2¹⁹⁷, 213, F₂, 93) (dual of [213, 16, 94]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(4⁶³, 71, F₄, 46) (dual of [71, 8, 47]-code), using
      - 1 times truncation [i] based on linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
        BCH codes lengthened with UEP codes [i]
    2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
linear OA(2¹⁹⁶, 213, F₂, 76) (dual of [213, 17, 77]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 2¹⁹⁶Â > V_b^sâˆ’1(kâˆ’1)Â = 81258 283719 296269 013004 343732 066295 280433 720858 926785 780278 [i]
linear OA(2¹⁵, 16, F₂, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,2)), using
- dual of repetition code with length 16 [i]

Mode: Linear.

None.

None.